def find_primitive(n: int) -> int:
    for r in range(1, n):
        li = []
        for x in range(n - 1):
            val = pow(r, x, n)
            if val in li:
                break
            li.append(val)
        else:
            return r


if __name__ == "__main__":
    q = int(input("Enter a prime number q: "))
    a = find_primitive(q)
    a_private = int(input("Enter private key of A: "))
    a_public = pow(a, a_private, q)
    b_private = int(input("Enter private key of B: "))
    b_public = pow(a, b_private, q)

    a_secret = pow(b_public, a_private, q)
    b_secret = pow(a_public, b_private, q)

    print("The key value generated by A is: ", a_secret)
    print("The key value generated by B is: ", b_secret)